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Finding the Fourth Proportional to 464,529.54, 696,863.56 and 164,984.96

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Solution

The fourth proportional to 464,529.54, 696,863.56 and 164,984.96 is: 247,502.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,529.54 : 696,863.56 = 164,984.96 : x
  2. Step 2: Convert to fraction form
    464,529.54/696,863.56 = 164,984.96/x
  3. Step 3: Cross multiply
    464,529.54x = 696,863.56 × 164,984.96
  4. Step 4: Simplify right side
    464,529.54x = 114,972,006,572.06
  5. Step 5: Solve for x
    x = 114,972,006,572.06/464,529.54
  6. Step 6: Final answer
    x = 247,502.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.